We are concerned with Köthe-Bochner spaces that are Hilbert spaces (resp. hilbertable spaces). It is shown that this is equivalent to the fact that, separately, L_\rho and X are Hilbert spaces (resp. hilbertable spaces). The complete characterization of the L_\rho spaces that are Hilbert spaces, given by the first-author, is used.

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Author(s)

Chiţescu, Ion, Cojocaru, Oana, Sfetcu, Răzvan Cornel